lemon/dfs.h
author Peter Kovacs <kpeter@inf.elte.hu>
Thu, 12 Nov 2009 23:30:45 +0100
changeset 809 22bb98ca0101
parent 787 c2230649a493
parent 786 e20173729589
child 825 75e6020b19b1
permissions -rw-r--r--
Entirely rework CostScaling (#180)

- Use the new interface similarly to NetworkSimplex.
- Rework the implementation using an efficient internal structure
for handling the residual network. This improvement made the
code much faster.
- Handle GEQ supply type (LEQ is not supported).
- Handle infinite upper bounds.
- Handle negative costs (for arcs of finite upper bound).
- Traits class + named parameter for the LargeCost type used in
internal computations.
- Extend the documentation.
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library.
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 *
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 * Copyright (C) 2003-2009
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#ifndef LEMON_DFS_H
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#define LEMON_DFS_H
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///\ingroup search
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///\file
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///\brief DFS algorithm.
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#include <lemon/list_graph.h>
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#include <lemon/bits/path_dump.h>
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#include <lemon/core.h>
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#include <lemon/error.h>
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#include <lemon/maps.h>
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#include <lemon/path.h>
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namespace lemon {
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  ///Default traits class of Dfs class.
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  ///Default traits class of Dfs class.
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  ///\tparam GR Digraph type.
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  template<class GR>
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  struct DfsDefaultTraits
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  {
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    ///The type of the digraph the algorithm runs on.
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    typedef GR Digraph;
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    ///\brief The type of the map that stores the predecessor
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    ///arcs of the %DFS paths.
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    ///
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    ///The type of the map that stores the predecessor
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    ///arcs of the %DFS paths.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
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    ///Instantiates a \c PredMap.
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    ///This function instantiates a \ref PredMap.
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    ///\param g is the digraph, to which we would like to define the
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    ///\ref PredMap.
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    static PredMap *createPredMap(const Digraph &g)
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    {
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      return new PredMap(g);
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    }
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    ///The type of the map that indicates which nodes are processed.
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    ///The type of the map that indicates which nodes are processed.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    ///By default, it is a NullMap.
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    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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    ///Instantiates a \c ProcessedMap.
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    ///This function instantiates a \ref ProcessedMap.
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    ///\param g is the digraph, to which
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    ///we would like to define the \ref ProcessedMap.
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#ifdef DOXYGEN
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    static ProcessedMap *createProcessedMap(const Digraph &g)
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#else
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    static ProcessedMap *createProcessedMap(const Digraph &)
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#endif
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    {
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      return new ProcessedMap();
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    }
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    ///The type of the map that indicates which nodes are reached.
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    ///The type of the map that indicates which nodes are reached.
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    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
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    typedef typename Digraph::template NodeMap<bool> ReachedMap;
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    ///Instantiates a \c ReachedMap.
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    ///This function instantiates a \ref ReachedMap.
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    ///\param g is the digraph, to which
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    ///we would like to define the \ref ReachedMap.
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    static ReachedMap *createReachedMap(const Digraph &g)
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    {
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      return new ReachedMap(g);
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    }
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    ///The type of the map that stores the distances of the nodes.
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    ///The type of the map that stores the distances of the nodes.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    typedef typename Digraph::template NodeMap<int> DistMap;
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    ///Instantiates a \c DistMap.
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    ///This function instantiates a \ref DistMap.
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    ///\param g is the digraph, to which we would like to define the
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    ///\ref DistMap.
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    static DistMap *createDistMap(const Digraph &g)
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    {
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      return new DistMap(g);
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    }
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  };
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  ///%DFS algorithm class.
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  ///\ingroup search
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  ///This class provides an efficient implementation of the %DFS algorithm.
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  ///
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  ///There is also a \ref dfs() "function-type interface" for the DFS
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  ///algorithm, which is convenient in the simplier cases and it can be
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  ///used easier.
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  ///
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  ///\tparam GR The type of the digraph the algorithm runs on.
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  ///The default type is \ref ListDigraph.
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#ifdef DOXYGEN
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  template <typename GR,
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            typename TR>
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#else
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  template <typename GR=ListDigraph,
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            typename TR=DfsDefaultTraits<GR> >
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#endif
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  class Dfs {
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  public:
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    ///The type of the digraph the algorithm runs on.
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    typedef typename TR::Digraph Digraph;
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    ///\brief The type of the map that stores the predecessor arcs of the
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    ///DFS paths.
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    typedef typename TR::PredMap PredMap;
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    ///The type of the map that stores the distances of the nodes.
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    typedef typename TR::DistMap DistMap;
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    ///The type of the map that indicates which nodes are reached.
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    typedef typename TR::ReachedMap ReachedMap;
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    ///The type of the map that indicates which nodes are processed.
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    typedef typename TR::ProcessedMap ProcessedMap;
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    ///The type of the paths.
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    typedef PredMapPath<Digraph, PredMap> Path;
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    ///The \ref DfsDefaultTraits "traits class" of the algorithm.
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    typedef TR Traits;
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  private:
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    typedef typename Digraph::Node Node;
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    typedef typename Digraph::NodeIt NodeIt;
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    typedef typename Digraph::Arc Arc;
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    typedef typename Digraph::OutArcIt OutArcIt;
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    //Pointer to the underlying digraph.
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    const Digraph *G;
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    //Pointer to the map of predecessor arcs.
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    PredMap *_pred;
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    //Indicates if _pred is locally allocated (true) or not.
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    bool local_pred;
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    //Pointer to the map of distances.
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    DistMap *_dist;
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    //Indicates if _dist is locally allocated (true) or not.
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    bool local_dist;
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    //Pointer to the map of reached status of the nodes.
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    ReachedMap *_reached;
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    //Indicates if _reached is locally allocated (true) or not.
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    bool local_reached;
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    //Pointer to the map of processed status of the nodes.
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    ProcessedMap *_processed;
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    //Indicates if _processed is locally allocated (true) or not.
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    bool local_processed;
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    std::vector<typename Digraph::OutArcIt> _stack;
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    int _stack_head;
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    //Creates the maps if necessary.
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    void create_maps()
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    {
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      if(!_pred) {
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        local_pred = true;
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        _pred = Traits::createPredMap(*G);
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      }
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      if(!_dist) {
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        local_dist = true;
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        _dist = Traits::createDistMap(*G);
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      }
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      if(!_reached) {
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        local_reached = true;
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        _reached = Traits::createReachedMap(*G);
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      }
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      if(!_processed) {
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        local_processed = true;
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        _processed = Traits::createProcessedMap(*G);
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      }
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    }
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  protected:
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    Dfs() {}
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  public:
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    typedef Dfs Create;
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    ///\name Named Template Parameters
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    ///@{
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    template <class T>
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    struct SetPredMapTraits : public Traits {
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      typedef T PredMap;
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      static PredMap *createPredMap(const Digraph &)
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      {
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        LEMON_ASSERT(false, "PredMap is not initialized");
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        return 0; // ignore warnings
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      }
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    };
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    ///\brief \ref named-templ-param "Named parameter" for setting
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    ///\c PredMap type.
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    ///
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    ///\ref named-templ-param "Named parameter" for setting
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    ///\c PredMap type.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    template <class T>
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    struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
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      typedef Dfs<Digraph, SetPredMapTraits<T> > Create;
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    };
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    template <class T>
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    struct SetDistMapTraits : public Traits {
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      typedef T DistMap;
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      static DistMap *createDistMap(const Digraph &)
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      {
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        LEMON_ASSERT(false, "DistMap is not initialized");
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        return 0; // ignore warnings
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      }
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    };
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    ///\brief \ref named-templ-param "Named parameter" for setting
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    ///\c DistMap type.
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    ///
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    ///\ref named-templ-param "Named parameter" for setting
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    ///\c DistMap type.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    template <class T>
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    struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
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      typedef Dfs<Digraph, SetDistMapTraits<T> > Create;
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    };
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    template <class T>
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    struct SetReachedMapTraits : public Traits {
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      typedef T ReachedMap;
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      static ReachedMap *createReachedMap(const Digraph &)
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      {
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        LEMON_ASSERT(false, "ReachedMap is not initialized");
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        return 0; // ignore warnings
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      }
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    };
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    ///\brief \ref named-templ-param "Named parameter" for setting
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    ///\c ReachedMap type.
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    ///
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    ///\ref named-templ-param "Named parameter" for setting
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    ///\c ReachedMap type.
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    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
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    template <class T>
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    struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
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      typedef Dfs< Digraph, SetReachedMapTraits<T> > Create;
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    };
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    template <class T>
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    struct SetProcessedMapTraits : public Traits {
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      typedef T ProcessedMap;
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      static ProcessedMap *createProcessedMap(const Digraph &)
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      {
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        LEMON_ASSERT(false, "ProcessedMap is not initialized");
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        return 0; // ignore warnings
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      }
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    };
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    ///\brief \ref named-templ-param "Named parameter" for setting
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    ///\c ProcessedMap type.
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    ///
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    ///\ref named-templ-param "Named parameter" for setting
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    ///\c ProcessedMap type.
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    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    template <class T>
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    struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
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      typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create;
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    };
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    struct SetStandardProcessedMapTraits : public Traits {
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      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
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      static ProcessedMap *createProcessedMap(const Digraph &g)
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      {
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        return new ProcessedMap(g);
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      }
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    };
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    ///\brief \ref named-templ-param "Named parameter" for setting
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    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
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    ///
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    ///\ref named-templ-param "Named parameter" for setting
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    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
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    ///If you don't set it explicitly, it will be automatically allocated.
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    struct SetStandardProcessedMap :
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      public Dfs< Digraph, SetStandardProcessedMapTraits > {
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      typedef Dfs< Digraph, SetStandardProcessedMapTraits > Create;
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    };
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    ///@}
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  public:
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    ///Constructor.
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    ///Constructor.
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    ///\param g The digraph the algorithm runs on.
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    Dfs(const Digraph &g) :
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      G(&g),
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      _pred(NULL), local_pred(false),
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      _dist(NULL), local_dist(false),
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      _reached(NULL), local_reached(false),
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      _processed(NULL), local_processed(false)
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    { }
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    ///Destructor.
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    ~Dfs()
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    {
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      if(local_pred) delete _pred;
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      if(local_dist) delete _dist;
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      if(local_reached) delete _reached;
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      if(local_processed) delete _processed;
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    }
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    ///Sets the map that stores the predecessor arcs.
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    ///Sets the map that stores the predecessor arcs.
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    ///If you don't use this function before calling \ref run(Node) "run()"
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    ///or \ref init(), an instance will be allocated automatically.
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    ///The destructor deallocates this automatically allocated map,
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    ///of course.
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    ///\return <tt> (*this) </tt>
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    Dfs &predMap(PredMap &m)
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    {
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      if(local_pred) {
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        delete _pred;
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        local_pred=false;
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      }
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      _pred = &m;
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      return *this;
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    }
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    ///Sets the map that indicates which nodes are reached.
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    ///Sets the map that indicates which nodes are reached.
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    ///If you don't use this function before calling \ref run(Node) "run()"
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    ///or \ref init(), an instance will be allocated automatically.
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    ///The destructor deallocates this automatically allocated map,
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    ///of course.
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    ///\return <tt> (*this) </tt>
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    Dfs &reachedMap(ReachedMap &m)
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    {
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      if(local_reached) {
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        delete _reached;
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        local_reached=false;
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      }
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      _reached = &m;
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      return *this;
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    }
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    ///Sets the map that indicates which nodes are processed.
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    ///Sets the map that indicates which nodes are processed.
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    ///If you don't use this function before calling \ref run(Node) "run()"
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    ///or \ref init(), an instance will be allocated automatically.
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    ///The destructor deallocates this automatically allocated map,
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    ///of course.
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    ///\return <tt> (*this) </tt>
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    Dfs &processedMap(ProcessedMap &m)
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    {
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      if(local_processed) {
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        delete _processed;
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        local_processed=false;
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      }
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      _processed = &m;
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      return *this;
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    }
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    ///Sets the map that stores the distances of the nodes.
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    ///Sets the map that stores the distances of the nodes calculated by
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    ///the algorithm.
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    ///If you don't use this function before calling \ref run(Node) "run()"
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   396
    ///or \ref init(), an instance will be allocated automatically.
kpeter@405
   397
    ///The destructor deallocates this automatically allocated map,
kpeter@405
   398
    ///of course.
alpar@100
   399
    ///\return <tt> (*this) </tt>
alpar@209
   400
    Dfs &distMap(DistMap &m)
alpar@100
   401
    {
alpar@100
   402
      if(local_dist) {
alpar@209
   403
        delete _dist;
alpar@209
   404
        local_dist=false;
alpar@100
   405
      }
alpar@100
   406
      _dist = &m;
alpar@100
   407
      return *this;
alpar@100
   408
    }
alpar@100
   409
kpeter@244
   410
  public:
alpar@100
   411
kpeter@405
   412
    ///\name Execution Control
kpeter@405
   413
    ///The simplest way to execute the DFS algorithm is to use one of the
kpeter@405
   414
    ///member functions called \ref run(Node) "run()".\n
kpeter@713
   415
    ///If you need better control on the execution, you have to call
kpeter@713
   416
    ///\ref init() first, then you can add a source node with \ref addSource()
kpeter@405
   417
    ///and perform the actual computation with \ref start().
kpeter@405
   418
    ///This procedure can be repeated if there are nodes that have not
kpeter@405
   419
    ///been reached.
alpar@100
   420
alpar@100
   421
    ///@{
alpar@100
   422
kpeter@405
   423
    ///\brief Initializes the internal data structures.
kpeter@405
   424
    ///
alpar@100
   425
    ///Initializes the internal data structures.
alpar@100
   426
    void init()
alpar@100
   427
    {
alpar@100
   428
      create_maps();
alpar@100
   429
      _stack.resize(countNodes(*G));
alpar@100
   430
      _stack_head=-1;
alpar@100
   431
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
alpar@209
   432
        _pred->set(u,INVALID);
alpar@209
   433
        _reached->set(u,false);
alpar@209
   434
        _processed->set(u,false);
alpar@100
   435
      }
alpar@100
   436
    }
alpar@209
   437
alpar@100
   438
    ///Adds a new source node.
alpar@100
   439
alpar@100
   440
    ///Adds a new source node to the set of nodes to be processed.
alpar@100
   441
    ///
kpeter@405
   442
    ///\pre The stack must be empty. Otherwise the algorithm gives
kpeter@405
   443
    ///wrong results. (One of the outgoing arcs of all the source nodes
kpeter@405
   444
    ///except for the last one will not be visited and distances will
kpeter@405
   445
    ///also be wrong.)
alpar@100
   446
    void addSource(Node s)
alpar@100
   447
    {
kpeter@244
   448
      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
alpar@100
   449
      if(!(*_reached)[s])
alpar@209
   450
        {
alpar@209
   451
          _reached->set(s,true);
alpar@209
   452
          _pred->set(s,INVALID);
alpar@209
   453
          OutArcIt e(*G,s);
alpar@209
   454
          if(e!=INVALID) {
alpar@209
   455
            _stack[++_stack_head]=e;
alpar@209
   456
            _dist->set(s,_stack_head);
alpar@209
   457
          }
alpar@209
   458
          else {
alpar@209
   459
            _processed->set(s,true);
alpar@209
   460
            _dist->set(s,0);
alpar@209
   461
          }
alpar@209
   462
        }
alpar@100
   463
    }
alpar@209
   464
alpar@100
   465
    ///Processes the next arc.
alpar@100
   466
alpar@100
   467
    ///Processes the next arc.
alpar@100
   468
    ///
alpar@100
   469
    ///\return The processed arc.
alpar@100
   470
    ///
kpeter@244
   471
    ///\pre The stack must not be empty.
alpar@100
   472
    Arc processNextArc()
alpar@209
   473
    {
alpar@100
   474
      Node m;
alpar@100
   475
      Arc e=_stack[_stack_head];
alpar@100
   476
      if(!(*_reached)[m=G->target(e)]) {
alpar@209
   477
        _pred->set(m,e);
alpar@209
   478
        _reached->set(m,true);
alpar@209
   479
        ++_stack_head;
alpar@209
   480
        _stack[_stack_head] = OutArcIt(*G, m);
alpar@209
   481
        _dist->set(m,_stack_head);
alpar@100
   482
      }
alpar@100
   483
      else {
alpar@209
   484
        m=G->source(e);
alpar@209
   485
        ++_stack[_stack_head];
alpar@100
   486
      }
alpar@100
   487
      while(_stack_head>=0 && _stack[_stack_head]==INVALID) {
alpar@209
   488
        _processed->set(m,true);
alpar@209
   489
        --_stack_head;
alpar@209
   490
        if(_stack_head>=0) {
alpar@209
   491
          m=G->source(_stack[_stack_head]);
alpar@209
   492
          ++_stack[_stack_head];
alpar@209
   493
        }
alpar@100
   494
      }
alpar@100
   495
      return e;
alpar@100
   496
    }
kpeter@244
   497
alpar@100
   498
    ///Next arc to be processed.
alpar@100
   499
alpar@100
   500
    ///Next arc to be processed.
alpar@100
   501
    ///
kpeter@244
   502
    ///\return The next arc to be processed or \c INVALID if the stack
kpeter@244
   503
    ///is empty.
kpeter@244
   504
    OutArcIt nextArc() const
alpar@209
   505
    {
alpar@100
   506
      return _stack_head>=0?_stack[_stack_head]:INVALID;
alpar@100
   507
    }
alpar@100
   508
kpeter@405
   509
    ///Returns \c false if there are nodes to be processed.
kpeter@405
   510
kpeter@405
   511
    ///Returns \c false if there are nodes to be processed
kpeter@405
   512
    ///in the queue (stack).
kpeter@244
   513
    bool emptyQueue() const { return _stack_head<0; }
kpeter@244
   514
alpar@100
   515
    ///Returns the number of the nodes to be processed.
alpar@209
   516
kpeter@405
   517
    ///Returns the number of the nodes to be processed
kpeter@405
   518
    ///in the queue (stack).
kpeter@244
   519
    int queueSize() const { return _stack_head+1; }
alpar@209
   520
alpar@100
   521
    ///Executes the algorithm.
alpar@100
   522
alpar@100
   523
    ///Executes the algorithm.
alpar@100
   524
    ///
kpeter@244
   525
    ///This method runs the %DFS algorithm from the root node
kpeter@244
   526
    ///in order to compute the DFS path to each node.
alpar@100
   527
    ///
kpeter@244
   528
    /// The algorithm computes
kpeter@244
   529
    ///- the %DFS tree,
kpeter@244
   530
    ///- the distance of each node from the root in the %DFS tree.
alpar@100
   531
    ///
kpeter@244
   532
    ///\pre init() must be called and a root node should be
kpeter@244
   533
    ///added with addSource() before using this function.
kpeter@244
   534
    ///
kpeter@244
   535
    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
kpeter@244
   536
    ///\code
kpeter@244
   537
    ///  while ( !d.emptyQueue() ) {
kpeter@244
   538
    ///    d.processNextArc();
kpeter@244
   539
    ///  }
kpeter@244
   540
    ///\endcode
alpar@100
   541
    void start()
alpar@100
   542
    {
alpar@100
   543
      while ( !emptyQueue() ) processNextArc();
alpar@100
   544
    }
alpar@209
   545
kpeter@244
   546
    ///Executes the algorithm until the given target node is reached.
alpar@100
   547
kpeter@244
   548
    ///Executes the algorithm until the given target node is reached.
alpar@100
   549
    ///
kpeter@244
   550
    ///This method runs the %DFS algorithm from the root node
kpeter@286
   551
    ///in order to compute the DFS path to \c t.
alpar@100
   552
    ///
kpeter@244
   553
    ///The algorithm computes
kpeter@286
   554
    ///- the %DFS path to \c t,
kpeter@286
   555
    ///- the distance of \c t from the root in the %DFS tree.
alpar@100
   556
    ///
kpeter@244
   557
    ///\pre init() must be called and a root node should be
kpeter@244
   558
    ///added with addSource() before using this function.
kpeter@286
   559
    void start(Node t)
alpar@100
   560
    {
kpeter@286
   561
      while ( !emptyQueue() && G->target(_stack[_stack_head])!=t )
alpar@209
   562
        processNextArc();
alpar@100
   563
    }
alpar@209
   564
alpar@100
   565
    ///Executes the algorithm until a condition is met.
alpar@100
   566
alpar@100
   567
    ///Executes the algorithm until a condition is met.
alpar@100
   568
    ///
kpeter@244
   569
    ///This method runs the %DFS algorithm from the root node
kpeter@244
   570
    ///until an arc \c a with <tt>am[a]</tt> true is found.
alpar@100
   571
    ///
kpeter@244
   572
    ///\param am A \c bool (or convertible) arc map. The algorithm
kpeter@244
   573
    ///will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
alpar@100
   574
    ///
kpeter@244
   575
    ///\return The reached arc \c a with <tt>am[a]</tt> true or
alpar@100
   576
    ///\c INVALID if no such arc was found.
alpar@100
   577
    ///
kpeter@244
   578
    ///\pre init() must be called and a root node should be
kpeter@244
   579
    ///added with addSource() before using this function.
kpeter@244
   580
    ///
kpeter@244
   581
    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
alpar@100
   582
    ///not a node map.
kpeter@244
   583
    template<class ArcBoolMap>
kpeter@244
   584
    Arc start(const ArcBoolMap &am)
alpar@100
   585
    {
kpeter@244
   586
      while ( !emptyQueue() && !am[_stack[_stack_head]] )
alpar@100
   587
        processNextArc();
alpar@100
   588
      return emptyQueue() ? INVALID : _stack[_stack_head];
alpar@100
   589
    }
alpar@100
   590
kpeter@286
   591
    ///Runs the algorithm from the given source node.
alpar@209
   592
kpeter@244
   593
    ///This method runs the %DFS algorithm from node \c s
kpeter@244
   594
    ///in order to compute the DFS path to each node.
alpar@100
   595
    ///
kpeter@244
   596
    ///The algorithm computes
kpeter@244
   597
    ///- the %DFS tree,
kpeter@244
   598
    ///- the distance of each node from the root in the %DFS tree.
kpeter@244
   599
    ///
kpeter@244
   600
    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
alpar@100
   601
    ///\code
alpar@100
   602
    ///  d.init();
kpeter@244
   603
    ///  d.addSource(s);
kpeter@244
   604
    ///  d.start();
kpeter@244
   605
    ///\endcode
kpeter@244
   606
    void run(Node s) {
kpeter@244
   607
      init();
kpeter@244
   608
      addSource(s);
kpeter@244
   609
      start();
kpeter@244
   610
    }
kpeter@244
   611
kpeter@244
   612
    ///Finds the %DFS path between \c s and \c t.
kpeter@244
   613
kpeter@244
   614
    ///This method runs the %DFS algorithm from node \c s
kpeter@286
   615
    ///in order to compute the DFS path to node \c t
kpeter@286
   616
    ///(it stops searching when \c t is processed)
kpeter@244
   617
    ///
kpeter@286
   618
    ///\return \c true if \c t is reachable form \c s.
kpeter@244
   619
    ///
kpeter@244
   620
    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is
kpeter@244
   621
    ///just a shortcut of the following code.
kpeter@244
   622
    ///\code
kpeter@244
   623
    ///  d.init();
kpeter@244
   624
    ///  d.addSource(s);
kpeter@244
   625
    ///  d.start(t);
kpeter@244
   626
    ///\endcode
kpeter@286
   627
    bool run(Node s,Node t) {
kpeter@244
   628
      init();
kpeter@244
   629
      addSource(s);
kpeter@244
   630
      start(t);
kpeter@286
   631
      return reached(t);
kpeter@244
   632
    }
kpeter@244
   633
kpeter@244
   634
    ///Runs the algorithm to visit all nodes in the digraph.
kpeter@244
   635
kpeter@787
   636
    ///This method runs the %DFS algorithm in order to visit all nodes
kpeter@787
   637
    ///in the digraph.
kpeter@244
   638
    ///
kpeter@244
   639
    ///\note <tt>d.run()</tt> is just a shortcut of the following code.
kpeter@244
   640
    ///\code
kpeter@244
   641
    ///  d.init();
kpeter@244
   642
    ///  for (NodeIt n(digraph); n != INVALID; ++n) {
kpeter@244
   643
    ///    if (!d.reached(n)) {
kpeter@244
   644
    ///      d.addSource(n);
alpar@100
   645
    ///      d.start();
alpar@100
   646
    ///    }
alpar@100
   647
    ///  }
alpar@100
   648
    ///\endcode
alpar@100
   649
    void run() {
alpar@100
   650
      init();
alpar@100
   651
      for (NodeIt it(*G); it != INVALID; ++it) {
alpar@100
   652
        if (!reached(it)) {
alpar@100
   653
          addSource(it);
alpar@100
   654
          start();
alpar@100
   655
        }
alpar@100
   656
      }
alpar@100
   657
    }
alpar@100
   658
alpar@100
   659
    ///@}
alpar@100
   660
alpar@100
   661
    ///\name Query Functions
kpeter@405
   662
    ///The results of the DFS algorithm can be obtained using these
alpar@100
   663
    ///functions.\n
kpeter@405
   664
    ///Either \ref run(Node) "run()" or \ref start() should be called
kpeter@405
   665
    ///before using them.
alpar@209
   666
alpar@100
   667
    ///@{
alpar@100
   668
kpeter@716
   669
    ///The DFS path to the given node.
alpar@100
   670
kpeter@716
   671
    ///Returns the DFS path to the given node from the root(s).
kpeter@244
   672
    ///
kpeter@405
   673
    ///\warning \c t should be reached from the root(s).
kpeter@244
   674
    ///
kpeter@405
   675
    ///\pre Either \ref run(Node) "run()" or \ref init()
kpeter@405
   676
    ///must be called before using this function.
kpeter@244
   677
    Path path(Node t) const { return Path(*G, *_pred, t); }
alpar@209
   678
kpeter@716
   679
    ///The distance of the given node from the root(s).
alpar@100
   680
kpeter@716
   681
    ///Returns the distance of the given node from the root(s).
kpeter@244
   682
    ///
kpeter@405
   683
    ///\warning If node \c v is not reached from the root(s), then
kpeter@244
   684
    ///the return value of this function is undefined.
kpeter@244
   685
    ///
kpeter@405
   686
    ///\pre Either \ref run(Node) "run()" or \ref init()
kpeter@405
   687
    ///must be called before using this function.
alpar@100
   688
    int dist(Node v) const { return (*_dist)[v]; }
alpar@100
   689
kpeter@716
   690
    ///Returns the 'previous arc' of the %DFS tree for the given node.
alpar@100
   691
kpeter@244
   692
    ///This function returns the 'previous arc' of the %DFS tree for the
kpeter@405
   693
    ///node \c v, i.e. it returns the last arc of a %DFS path from a
kpeter@405
   694
    ///root to \c v. It is \c INVALID if \c v is not reached from the
kpeter@405
   695
    ///root(s) or if \c v is a root.
kpeter@244
   696
    ///
kpeter@244
   697
    ///The %DFS tree used here is equal to the %DFS tree used in
kpeter@716
   698
    ///\ref predNode() and \ref predMap().
kpeter@244
   699
    ///
kpeter@405
   700
    ///\pre Either \ref run(Node) "run()" or \ref init()
kpeter@405
   701
    ///must be called before using this function.
alpar@100
   702
    Arc predArc(Node v) const { return (*_pred)[v];}
alpar@100
   703
kpeter@716
   704
    ///Returns the 'previous node' of the %DFS tree for the given node.
alpar@100
   705
kpeter@244
   706
    ///This function returns the 'previous node' of the %DFS
kpeter@244
   707
    ///tree for the node \c v, i.e. it returns the last but one node
kpeter@716
   708
    ///of a %DFS path from a root to \c v. It is \c INVALID
kpeter@405
   709
    ///if \c v is not reached from the root(s) or if \c v is a root.
kpeter@244
   710
    ///
kpeter@244
   711
    ///The %DFS tree used here is equal to the %DFS tree used in
kpeter@716
   712
    ///\ref predArc() and \ref predMap().
kpeter@244
   713
    ///
kpeter@405
   714
    ///\pre Either \ref run(Node) "run()" or \ref init()
kpeter@405
   715
    ///must be called before using this function.
alpar@100
   716
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
alpar@209
   717
                                  G->source((*_pred)[v]); }
alpar@209
   718
kpeter@244
   719
    ///\brief Returns a const reference to the node map that stores the
kpeter@244
   720
    ///distances of the nodes.
kpeter@244
   721
    ///
kpeter@244
   722
    ///Returns a const reference to the node map that stores the
kpeter@244
   723
    ///distances of the nodes calculated by the algorithm.
kpeter@244
   724
    ///
kpeter@405
   725
    ///\pre Either \ref run(Node) "run()" or \ref init()
kpeter@244
   726
    ///must be called before using this function.
alpar@100
   727
    const DistMap &distMap() const { return *_dist;}
alpar@209
   728
kpeter@244
   729
    ///\brief Returns a const reference to the node map that stores the
kpeter@244
   730
    ///predecessor arcs.
kpeter@244
   731
    ///
kpeter@244
   732
    ///Returns a const reference to the node map that stores the predecessor
kpeter@716
   733
    ///arcs, which form the DFS tree (forest).
kpeter@244
   734
    ///
kpeter@405
   735
    ///\pre Either \ref run(Node) "run()" or \ref init()
alpar@100
   736
    ///must be called before using this function.
alpar@100
   737
    const PredMap &predMap() const { return *_pred;}
alpar@209
   738
kpeter@716
   739
    ///Checks if the given node. node is reached from the root(s).
alpar@100
   740
kpeter@405
   741
    ///Returns \c true if \c v is reached from the root(s).
kpeter@405
   742
    ///
kpeter@405
   743
    ///\pre Either \ref run(Node) "run()" or \ref init()
alpar@100
   744
    ///must be called before using this function.
kpeter@244
   745
    bool reached(Node v) const { return (*_reached)[v]; }
alpar@209
   746
alpar@100
   747
    ///@}
alpar@100
   748
  };
alpar@100
   749
kpeter@244
   750
  ///Default traits class of dfs() function.
alpar@100
   751
kpeter@244
   752
  ///Default traits class of dfs() function.
kpeter@157
   753
  ///\tparam GR Digraph type.
alpar@100
   754
  template<class GR>
alpar@100
   755
  struct DfsWizardDefaultTraits
alpar@100
   756
  {
kpeter@244
   757
    ///The type of the digraph the algorithm runs on.
alpar@100
   758
    typedef GR Digraph;
kpeter@244
   759
kpeter@244
   760
    ///\brief The type of the map that stores the predecessor
alpar@100
   761
    ///arcs of the %DFS paths.
alpar@209
   762
    ///
kpeter@244
   763
    ///The type of the map that stores the predecessor
alpar@100
   764
    ///arcs of the %DFS paths.
kpeter@716
   765
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
kpeter@278
   766
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
kpeter@301
   767
    ///Instantiates a PredMap.
alpar@209
   768
kpeter@301
   769
    ///This function instantiates a PredMap.
kpeter@244
   770
    ///\param g is the digraph, to which we would like to define the
kpeter@301
   771
    ///PredMap.
kpeter@244
   772
    static PredMap *createPredMap(const Digraph &g)
alpar@100
   773
    {
kpeter@278
   774
      return new PredMap(g);
alpar@100
   775
    }
alpar@100
   776
alpar@100
   777
    ///The type of the map that indicates which nodes are processed.
alpar@209
   778
alpar@100
   779
    ///The type of the map that indicates which nodes are processed.
kpeter@716
   780
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
kpeter@786
   781
    ///By default, it is a NullMap.
alpar@100
   782
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
kpeter@301
   783
    ///Instantiates a ProcessedMap.
alpar@209
   784
kpeter@301
   785
    ///This function instantiates a ProcessedMap.
alpar@100
   786
    ///\param g is the digraph, to which
kpeter@301
   787
    ///we would like to define the ProcessedMap.
alpar@100
   788
#ifdef DOXYGEN
kpeter@244
   789
    static ProcessedMap *createProcessedMap(const Digraph &g)
alpar@100
   790
#else
kpeter@244
   791
    static ProcessedMap *createProcessedMap(const Digraph &)
alpar@100
   792
#endif
alpar@100
   793
    {
alpar@100
   794
      return new ProcessedMap();
alpar@100
   795
    }
kpeter@244
   796
alpar@100
   797
    ///The type of the map that indicates which nodes are reached.
alpar@209
   798
alpar@100
   799
    ///The type of the map that indicates which nodes are reached.
kpeter@716
   800
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
alpar@100
   801
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
kpeter@301
   802
    ///Instantiates a ReachedMap.
alpar@209
   803
kpeter@301
   804
    ///This function instantiates a ReachedMap.
kpeter@244
   805
    ///\param g is the digraph, to which
kpeter@301
   806
    ///we would like to define the ReachedMap.
kpeter@244
   807
    static ReachedMap *createReachedMap(const Digraph &g)
alpar@100
   808
    {
kpeter@244
   809
      return new ReachedMap(g);
alpar@100
   810
    }
alpar@209
   811
kpeter@244
   812
    ///The type of the map that stores the distances of the nodes.
kpeter@244
   813
kpeter@244
   814
    ///The type of the map that stores the distances of the nodes.
kpeter@716
   815
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
kpeter@278
   816
    typedef typename Digraph::template NodeMap<int> DistMap;
kpeter@301
   817
    ///Instantiates a DistMap.
alpar@209
   818
kpeter@301
   819
    ///This function instantiates a DistMap.
alpar@210
   820
    ///\param g is the digraph, to which we would like to define
kpeter@301
   821
    ///the DistMap
kpeter@244
   822
    static DistMap *createDistMap(const Digraph &g)
alpar@100
   823
    {
kpeter@278
   824
      return new DistMap(g);
alpar@100
   825
    }
kpeter@278
   826
kpeter@278
   827
    ///The type of the DFS paths.
kpeter@278
   828
kpeter@278
   829
    ///The type of the DFS paths.
kpeter@716
   830
    ///It must conform to the \ref concepts::Path "Path" concept.
kpeter@278
   831
    typedef lemon::Path<Digraph> Path;
alpar@100
   832
  };
alpar@209
   833
kpeter@313
   834
  /// Default traits class used by DfsWizard
alpar@100
   835
kpeter@716
   836
  /// Default traits class used by DfsWizard.
kpeter@716
   837
  /// \tparam GR The type of the digraph.
alpar@100
   838
  template<class GR>
alpar@100
   839
  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
alpar@100
   840
  {
alpar@100
   841
alpar@100
   842
    typedef DfsWizardDefaultTraits<GR> Base;
alpar@100
   843
  protected:
kpeter@244
   844
    //The type of the nodes in the digraph.
alpar@100
   845
    typedef typename Base::Digraph::Node Node;
alpar@100
   846
kpeter@244
   847
    //Pointer to the digraph the algorithm runs on.
alpar@100
   848
    void *_g;
kpeter@244
   849
    //Pointer to the map of reached nodes.
alpar@100
   850
    void *_reached;
kpeter@244
   851
    //Pointer to the map of processed nodes.
alpar@100
   852
    void *_processed;
kpeter@244
   853
    //Pointer to the map of predecessors arcs.
alpar@100
   854
    void *_pred;
kpeter@244
   855
    //Pointer to the map of distances.
alpar@100
   856
    void *_dist;
kpeter@278
   857
    //Pointer to the DFS path to the target node.
kpeter@278
   858
    void *_path;
kpeter@278
   859
    //Pointer to the distance of the target node.
kpeter@278
   860
    int *_di;
alpar@209
   861
alpar@100
   862
    public:
alpar@100
   863
    /// Constructor.
alpar@209
   864
kpeter@716
   865
    /// This constructor does not require parameters, it initiates
kpeter@278
   866
    /// all of the attributes to \c 0.
alpar@100
   867
    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
kpeter@278
   868
                      _dist(0), _path(0), _di(0) {}
alpar@100
   869
alpar@100
   870
    /// Constructor.
alpar@209
   871
kpeter@278
   872
    /// This constructor requires one parameter,
kpeter@278
   873
    /// others are initiated to \c 0.
kpeter@244
   874
    /// \param g The digraph the algorithm runs on.
kpeter@278
   875
    DfsWizardBase(const GR &g) :
alpar@209
   876
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
kpeter@278
   877
      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
alpar@100
   878
alpar@100
   879
  };
alpar@209
   880
kpeter@278
   881
  /// Auxiliary class for the function-type interface of DFS algorithm.
alpar@100
   882
kpeter@278
   883
  /// This auxiliary class is created to implement the
kpeter@278
   884
  /// \ref dfs() "function-type interface" of \ref Dfs algorithm.
kpeter@405
   885
  /// It does not have own \ref run(Node) "run()" method, it uses the
kpeter@405
   886
  /// functions and features of the plain \ref Dfs.
alpar@100
   887
  ///
kpeter@278
   888
  /// This class should only be used through the \ref dfs() function,
kpeter@278
   889
  /// which makes it easier to use the algorithm.
alpar@100
   890
  template<class TR>
alpar@100
   891
  class DfsWizard : public TR
alpar@100
   892
  {
alpar@100
   893
    typedef TR Base;
alpar@100
   894
alpar@100
   895
    typedef typename TR::Digraph Digraph;
kpeter@244
   896
alpar@100
   897
    typedef typename Digraph::Node Node;
alpar@100
   898
    typedef typename Digraph::NodeIt NodeIt;
alpar@100
   899
    typedef typename Digraph::Arc Arc;
alpar@100
   900
    typedef typename Digraph::OutArcIt OutArcIt;
alpar@209
   901
kpeter@244
   902
    typedef typename TR::PredMap PredMap;
kpeter@244
   903
    typedef typename TR::DistMap DistMap;
alpar@100
   904
    typedef typename TR::ReachedMap ReachedMap;
alpar@100
   905
    typedef typename TR::ProcessedMap ProcessedMap;
kpeter@278
   906
    typedef typename TR::Path Path;
alpar@100
   907
alpar@100
   908
  public:
kpeter@244
   909
alpar@100
   910
    /// Constructor.
alpar@100
   911
    DfsWizard() : TR() {}
alpar@100
   912
alpar@100
   913
    /// Constructor that requires parameters.
alpar@100
   914
alpar@100
   915
    /// Constructor that requires parameters.
alpar@100
   916
    /// These parameters will be the default values for the traits class.
kpeter@278
   917
    /// \param g The digraph the algorithm runs on.
kpeter@278
   918
    DfsWizard(const Digraph &g) :
kpeter@278
   919
      TR(g) {}
alpar@100
   920
alpar@100
   921
    ///Copy constructor
alpar@100
   922
    DfsWizard(const TR &b) : TR(b) {}
alpar@100
   923
alpar@100
   924
    ~DfsWizard() {}
alpar@100
   925
kpeter@278
   926
    ///Runs DFS algorithm from the given source node.
alpar@209
   927
kpeter@278
   928
    ///This method runs DFS algorithm from node \c s
kpeter@278
   929
    ///in order to compute the DFS path to each node.
kpeter@278
   930
    void run(Node s)
kpeter@278
   931
    {
kpeter@278
   932
      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
kpeter@278
   933
      if (Base::_pred)
kpeter@278
   934
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
kpeter@278
   935
      if (Base::_dist)
kpeter@278
   936
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
kpeter@278
   937
      if (Base::_reached)
kpeter@278
   938
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
kpeter@278
   939
      if (Base::_processed)
kpeter@278
   940
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
kpeter@278
   941
      if (s!=INVALID)
kpeter@278
   942
        alg.run(s);
kpeter@278
   943
      else
kpeter@278
   944
        alg.run();
kpeter@278
   945
    }
kpeter@278
   946
kpeter@278
   947
    ///Finds the DFS path between \c s and \c t.
kpeter@278
   948
kpeter@278
   949
    ///This method runs DFS algorithm from node \c s
kpeter@278
   950
    ///in order to compute the DFS path to node \c t
kpeter@278
   951
    ///(it stops searching when \c t is processed).
kpeter@278
   952
    ///
kpeter@278
   953
    ///\return \c true if \c t is reachable form \c s.
kpeter@278
   954
    bool run(Node s, Node t)
kpeter@278
   955
    {
kpeter@278
   956
      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
kpeter@278
   957
      if (Base::_pred)
kpeter@278
   958
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
kpeter@278
   959
      if (Base::_dist)
kpeter@278
   960
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
kpeter@278
   961
      if (Base::_reached)
kpeter@278
   962
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
kpeter@278
   963
      if (Base::_processed)
kpeter@278
   964
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
kpeter@278
   965
      alg.run(s,t);
kpeter@278
   966
      if (Base::_path)
kpeter@278
   967
        *reinterpret_cast<Path*>(Base::_path) = alg.path(t);
kpeter@278
   968
      if (Base::_di)
kpeter@278
   969
        *Base::_di = alg.dist(t);
kpeter@278
   970
      return alg.reached(t);
kpeter@278
   971
      }
kpeter@278
   972
kpeter@278
   973
    ///Runs DFS algorithm to visit all nodes in the digraph.
kpeter@278
   974
kpeter@787
   975
    ///This method runs DFS algorithm in order to visit all nodes
kpeter@787
   976
    ///in the digraph.
alpar@100
   977
    void run()
alpar@100
   978
    {
kpeter@278
   979
      run(INVALID);
kpeter@244
   980
    }
kpeter@244
   981
alpar@100
   982
    template<class T>
kpeter@257
   983
    struct SetPredMapBase : public Base {
alpar@100
   984
      typedef T PredMap;
alpar@100
   985
      static PredMap *createPredMap(const Digraph &) { return 0; };
kpeter@257
   986
      SetPredMapBase(const TR &b) : TR(b) {}
alpar@100
   987
    };
kpeter@716
   988
kpeter@716
   989
    ///\brief \ref named-templ-param "Named parameter" for setting
kpeter@716
   990
    ///the predecessor map.
alpar@100
   991
    ///
kpeter@716
   992
    ///\ref named-templ-param "Named parameter" function for setting
kpeter@716
   993
    ///the map that stores the predecessor arcs of the nodes.
alpar@100
   994
    template<class T>
kpeter@257
   995
    DfsWizard<SetPredMapBase<T> > predMap(const T &t)
alpar@100
   996
    {
alpar@100
   997
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
kpeter@257
   998
      return DfsWizard<SetPredMapBase<T> >(*this);
alpar@100
   999
    }
alpar@209
  1000
alpar@100
  1001
    template<class T>
kpeter@257
  1002
    struct SetReachedMapBase : public Base {
alpar@100
  1003
      typedef T ReachedMap;
alpar@100
  1004
      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
kpeter@257
  1005
      SetReachedMapBase(const TR &b) : TR(b) {}
alpar@100
  1006
    };
kpeter@716
  1007
kpeter@716
  1008
    ///\brief \ref named-templ-param "Named parameter" for setting
kpeter@716
  1009
    ///the reached map.
alpar@100
  1010
    ///
kpeter@716
  1011
    ///\ref named-templ-param "Named parameter" function for setting
kpeter@716
  1012
    ///the map that indicates which nodes are reached.
alpar@100
  1013
    template<class T>
kpeter@257
  1014
    DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
alpar@100
  1015
    {
deba@158
  1016
      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
kpeter@257
  1017
      return DfsWizard<SetReachedMapBase<T> >(*this);
alpar@100
  1018
    }
alpar@209
  1019
alpar@100
  1020
    template<class T>
kpeter@278
  1021
    struct SetDistMapBase : public Base {
kpeter@278
  1022
      typedef T DistMap;
kpeter@278
  1023
      static DistMap *createDistMap(const Digraph &) { return 0; };
kpeter@278
  1024
      SetDistMapBase(const TR &b) : TR(b) {}
kpeter@278
  1025
    };
kpeter@716
  1026
kpeter@716
  1027
    ///\brief \ref named-templ-param "Named parameter" for setting
kpeter@716
  1028
    ///the distance map.
kpeter@278
  1029
    ///
kpeter@716
  1030
    ///\ref named-templ-param "Named parameter" function for setting
kpeter@716
  1031
    ///the map that stores the distances of the nodes calculated
kpeter@716
  1032
    ///by the algorithm.
kpeter@278
  1033
    template<class T>
kpeter@278
  1034
    DfsWizard<SetDistMapBase<T> > distMap(const T &t)
kpeter@278
  1035
    {
kpeter@278
  1036
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
kpeter@278
  1037
      return DfsWizard<SetDistMapBase<T> >(*this);
kpeter@278
  1038
    }
kpeter@278
  1039
kpeter@278
  1040
    template<class T>
kpeter@257
  1041
    struct SetProcessedMapBase : public Base {
alpar@100
  1042
      typedef T ProcessedMap;
alpar@100
  1043
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
kpeter@257
  1044
      SetProcessedMapBase(const TR &b) : TR(b) {}
alpar@100
  1045
    };
kpeter@716
  1046
kpeter@716
  1047
    ///\brief \ref named-func-param "Named parameter" for setting
kpeter@716
  1048
    ///the processed map.
alpar@100
  1049
    ///
kpeter@716
  1050
    ///\ref named-templ-param "Named parameter" function for setting
kpeter@716
  1051
    ///the map that indicates which nodes are processed.
alpar@100
  1052
    template<class T>
kpeter@257
  1053
    DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
alpar@100
  1054
    {
deba@158
  1055
      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
kpeter@257
  1056
      return DfsWizard<SetProcessedMapBase<T> >(*this);
alpar@100
  1057
    }
alpar@209
  1058
alpar@100
  1059
    template<class T>
kpeter@278
  1060
    struct SetPathBase : public Base {
kpeter@278
  1061
      typedef T Path;
kpeter@278
  1062
      SetPathBase(const TR &b) : TR(b) {}
alpar@100
  1063
    };
kpeter@278
  1064
    ///\brief \ref named-func-param "Named parameter"
kpeter@278
  1065
    ///for getting the DFS path to the target node.
alpar@100
  1066
    ///
kpeter@278
  1067
    ///\ref named-func-param "Named parameter"
kpeter@278
  1068
    ///for getting the DFS path to the target node.
alpar@100
  1069
    template<class T>
kpeter@278
  1070
    DfsWizard<SetPathBase<T> > path(const T &t)
alpar@100
  1071
    {
kpeter@278
  1072
      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
kpeter@278
  1073
      return DfsWizard<SetPathBase<T> >(*this);
kpeter@278
  1074
    }
kpeter@278
  1075
kpeter@278
  1076
    ///\brief \ref named-func-param "Named parameter"
kpeter@278
  1077
    ///for getting the distance of the target node.
kpeter@278
  1078
    ///
kpeter@278
  1079
    ///\ref named-func-param "Named parameter"
kpeter@278
  1080
    ///for getting the distance of the target node.
kpeter@278
  1081
    DfsWizard dist(const int &d)
kpeter@278
  1082
    {
kpeter@278
  1083
      Base::_di=const_cast<int*>(&d);
kpeter@278
  1084
      return *this;
alpar@100
  1085
    }
alpar@209
  1086
alpar@100
  1087
  };
alpar@209
  1088
kpeter@278
  1089
  ///Function-type interface for DFS algorithm.
alpar@100
  1090
alpar@100
  1091
  ///\ingroup search
kpeter@278
  1092
  ///Function-type interface for DFS algorithm.
alpar@100
  1093
  ///
kpeter@278
  1094
  ///This function also has several \ref named-func-param "named parameters",
alpar@100
  1095
  ///they are declared as the members of class \ref DfsWizard.
kpeter@278
  1096
  ///The following examples show how to use these parameters.
alpar@100
  1097
  ///\code
kpeter@278
  1098
  ///  // Compute the DFS tree
kpeter@278
  1099
  ///  dfs(g).predMap(preds).distMap(dists).run(s);
kpeter@278
  1100
  ///
kpeter@278
  1101
  ///  // Compute the DFS path from s to t
kpeter@278
  1102
  ///  bool reached = dfs(g).path(p).dist(d).run(s,t);
alpar@100
  1103
  ///\endcode
kpeter@405
  1104
  ///\warning Don't forget to put the \ref DfsWizard::run(Node) "run()"
alpar@100
  1105
  ///to the end of the parameter list.
alpar@100
  1106
  ///\sa DfsWizard
alpar@100
  1107
  ///\sa Dfs
alpar@100
  1108
  template<class GR>
alpar@100
  1109
  DfsWizard<DfsWizardBase<GR> >
kpeter@278
  1110
  dfs(const GR &digraph)
alpar@100
  1111
  {
kpeter@278
  1112
    return DfsWizard<DfsWizardBase<GR> >(digraph);
alpar@100
  1113
  }
alpar@100
  1114
alpar@100
  1115
#ifdef DOXYGEN
kpeter@244
  1116
  /// \brief Visitor class for DFS.
alpar@209
  1117
  ///
kpeter@244
  1118
  /// This class defines the interface of the DfsVisit events, and
kpeter@244
  1119
  /// it could be the base of a real visitor class.
kpeter@492
  1120
  template <typename GR>
alpar@100
  1121
  struct DfsVisitor {
kpeter@492
  1122
    typedef GR Digraph;
alpar@100
  1123
    typedef typename Digraph::Arc Arc;
alpar@100
  1124
    typedef typename Digraph::Node Node;
kpeter@244
  1125
    /// \brief Called for the source node of the DFS.
alpar@209
  1126
    ///
kpeter@244
  1127
    /// This function is called for the source node of the DFS.
kpeter@244
  1128
    void start(const Node& node) {}
kpeter@244
  1129
    /// \brief Called when the source node is leaved.
kpeter@244
  1130
    ///
kpeter@244
  1131
    /// This function is called when the source node is leaved.
kpeter@244
  1132
    void stop(const Node& node) {}
kpeter@244
  1133
    /// \brief Called when a node is reached first time.
kpeter@244
  1134
    ///
kpeter@244
  1135
    /// This function is called when a node is reached first time.
kpeter@244
  1136
    void reach(const Node& node) {}
kpeter@244
  1137
    /// \brief Called when an arc reaches a new node.
kpeter@244
  1138
    ///
kpeter@244
  1139
    /// This function is called when the DFS finds an arc whose target node
kpeter@244
  1140
    /// is not reached yet.
alpar@100
  1141
    void discover(const Arc& arc) {}
kpeter@244
  1142
    /// \brief Called when an arc is examined but its target node is
alpar@100
  1143
    /// already discovered.
alpar@209
  1144
    ///
kpeter@244
  1145
    /// This function is called when an arc is examined but its target node is
alpar@100
  1146
    /// already discovered.
alpar@100
  1147
    void examine(const Arc& arc) {}
kpeter@244
  1148
    /// \brief Called when the DFS steps back from a node.
alpar@209
  1149
    ///
kpeter@244
  1150
    /// This function is called when the DFS steps back from a node.
kpeter@244
  1151
    void leave(const Node& node) {}
kpeter@244
  1152
    /// \brief Called when the DFS steps back on an arc.
alpar@209
  1153
    ///
kpeter@244
  1154
    /// This function is called when the DFS steps back on an arc.
kpeter@244
  1155
    void backtrack(const Arc& arc) {}
alpar@100
  1156
  };
alpar@100
  1157
#else
kpeter@492
  1158
  template <typename GR>
alpar@100
  1159
  struct DfsVisitor {
kpeter@492
  1160
    typedef GR Digraph;
alpar@100
  1161
    typedef typename Digraph::Arc Arc;
alpar@100
  1162
    typedef typename Digraph::Node Node;
alpar@100
  1163
    void start(const Node&) {}
alpar@100
  1164
    void stop(const Node&) {}
kpeter@244
  1165
    void reach(const Node&) {}
kpeter@244
  1166
    void discover(const Arc&) {}
kpeter@244
  1167
    void examine(const Arc&) {}
kpeter@244
  1168
    void leave(const Node&) {}
kpeter@244
  1169
    void backtrack(const Arc&) {}
alpar@100
  1170
alpar@100
  1171
    template <typename _Visitor>
alpar@100
  1172
    struct Constraints {
alpar@100
  1173
      void constraints() {
alpar@209
  1174
        Arc arc;
alpar@209
  1175
        Node node;
alpar@209
  1176
        visitor.start(node);
alpar@209
  1177
        visitor.stop(arc);
kpeter@244
  1178
        visitor.reach(node);
kpeter@244
  1179
        visitor.discover(arc);
kpeter@244
  1180
        visitor.examine(arc);
kpeter@244
  1181
        visitor.leave(node);
kpeter@244
  1182
        visitor.backtrack(arc);
alpar@100
  1183
      }
alpar@100
  1184
      _Visitor& visitor;
alpar@100
  1185
    };
alpar@100
  1186
  };
alpar@100
  1187
#endif
alpar@100
  1188
alpar@100
  1189
  /// \brief Default traits class of DfsVisit class.
alpar@100
  1190
  ///
alpar@100
  1191
  /// Default traits class of DfsVisit class.
kpeter@244
  1192
  /// \tparam _Digraph The type of the digraph the algorithm runs on.
kpeter@492
  1193
  template<class GR>
alpar@100
  1194
  struct DfsVisitDefaultTraits {
alpar@100
  1195
kpeter@244
  1196
    /// \brief The type of the digraph the algorithm runs on.
kpeter@492
  1197
    typedef GR Digraph;
alpar@100
  1198
alpar@100
  1199
    /// \brief The type of the map that indicates which nodes are reached.
alpar@209
  1200
    ///
alpar@100
  1201
    /// The type of the map that indicates which nodes are reached.
kpeter@716
  1202
    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
alpar@100
  1203
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
alpar@100
  1204
kpeter@301
  1205
    /// \brief Instantiates a ReachedMap.
alpar@100
  1206
    ///
kpeter@301
  1207
    /// This function instantiates a ReachedMap.
alpar@100
  1208
    /// \param digraph is the digraph, to which
kpeter@301
  1209
    /// we would like to define the ReachedMap.
alpar@100
  1210
    static ReachedMap *createReachedMap(const Digraph &digraph) {
alpar@100
  1211
      return new ReachedMap(digraph);
alpar@100
  1212
    }
alpar@100
  1213
alpar@100
  1214
  };
alpar@209
  1215
alpar@100
  1216
  /// \ingroup search
kpeter@244
  1217
  ///
kpeter@492
  1218
  /// \brief DFS algorithm class with visitor interface.
kpeter@244
  1219
  ///
kpeter@492
  1220
  /// This class provides an efficient implementation of the DFS algorithm
alpar@100
  1221
  /// with visitor interface.
alpar@100
  1222
  ///
kpeter@492
  1223
  /// The DfsVisit class provides an alternative interface to the Dfs
alpar@100
  1224
  /// class. It works with callback mechanism, the DfsVisit object calls
kpeter@244
  1225
  /// the member functions of the \c Visitor class on every DFS event.
alpar@100
  1226
  ///
kpeter@252
  1227
  /// This interface of the DFS algorithm should be used in special cases
kpeter@252
  1228
  /// when extra actions have to be performed in connection with certain
kpeter@252
  1229
  /// events of the DFS algorithm. Otherwise consider to use Dfs or dfs()
kpeter@252
  1230
  /// instead.
kpeter@252
  1231
  ///
kpeter@492
  1232
  /// \tparam GR The type of the digraph the algorithm runs on.
kpeter@492
  1233
  /// The default type is \ref ListDigraph.
kpeter@492
  1234
  /// The value of GR is not used directly by \ref DfsVisit,
kpeter@492
  1235
  /// it is only passed to \ref DfsVisitDefaultTraits.
kpeter@492
  1236
  /// \tparam VS The Visitor type that is used by the algorithm.
kpeter@492
  1237
  /// \ref DfsVisitor "DfsVisitor<GR>" is an empty visitor, which
kpeter@244
  1238
  /// does not observe the DFS events. If you want to observe the DFS
kpeter@244
  1239
  /// events, you should implement your own visitor class.
kpeter@492
  1240
  /// \tparam TR Traits class to set various data types used by the
alpar@100
  1241
  /// algorithm. The default traits class is
kpeter@492
  1242
  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<GR>".
alpar@100
  1243
  /// See \ref DfsVisitDefaultTraits for the documentation of
kpeter@244
  1244
  /// a DFS visit traits class.
alpar@100
  1245
#ifdef DOXYGEN
kpeter@492
  1246
  template <typename GR, typename VS, typename TR>
alpar@100
  1247
#else
kpeter@492
  1248
  template <typename GR = ListDigraph,
kpeter@492
  1249
            typename VS = DfsVisitor<GR>,
kpeter@492
  1250
            typename TR = DfsVisitDefaultTraits<GR> >
alpar@100
  1251
#endif
alpar@100
  1252
  class DfsVisit {
alpar@100
  1253
  public:
alpar@209
  1254
kpeter@244
  1255
    ///The traits class.
kpeter@492
  1256
    typedef TR Traits;
alpar@100
  1257
kpeter@244
  1258
    ///The type of the digraph the algorithm runs on.
alpar@100
  1259
    typedef typename Traits::Digraph Digraph;
alpar@100
  1260
kpeter@244
  1261
    ///The visitor type used by the algorithm.
kpeter@492
  1262
    typedef VS Visitor;
alpar@100
  1263
kpeter@244
  1264
    ///The type of the map that indicates which nodes are reached.
alpar@100
  1265
    typedef typename Traits::ReachedMap ReachedMap;
alpar@100
  1266
alpar@100
  1267
  private:
alpar@100
  1268
alpar@100
  1269
    typedef typename Digraph::Node Node;
alpar@100
  1270
    typedef typename Digraph::NodeIt NodeIt;
alpar@100
  1271
    typedef typename Digraph::Arc Arc;
alpar@100
  1272
    typedef typename Digraph::OutArcIt OutArcIt;
alpar@100
  1273
kpeter@244
  1274
    //Pointer to the underlying digraph.
alpar@100
  1275
    const Digraph *_digraph;
kpeter@244
  1276
    //Pointer to the visitor object.
alpar@100
  1277
    Visitor *_visitor;
kpeter@244
  1278
    //Pointer to the map of reached status of the nodes.
alpar@100
  1279
    ReachedMap *_reached;
kpeter@244
  1280
    //Indicates if _reached is locally allocated (true) or not.
alpar@100
  1281
    bool local_reached;
alpar@100
  1282
alpar@100
  1283
    std::vector<typename Digraph::Arc> _stack;
alpar@100
  1284
    int _stack_head;
alpar@100
  1285
alpar@280
  1286
    //Creates the maps if necessary.
alpar@100
  1287
    void create_maps() {
alpar@100
  1288
      if(!_reached) {
alpar@209
  1289
        local_reached = true;
alpar@209
  1290
        _reached = Traits::createReachedMap(*_digraph);
alpar@100
  1291
      }
alpar@100
  1292
    }
alpar@100
  1293
alpar@100
  1294
  protected:
alpar@100
  1295
alpar@100
  1296
    DfsVisit() {}
alpar@209
  1297
alpar@100
  1298
  public:
alpar@100
  1299
alpar@100
  1300
    typedef DfsVisit Create;
alpar@100
  1301
kpeter@405
  1302
    /// \name Named Template Parameters
alpar@100
  1303
alpar@100
  1304
    ///@{
alpar@100
  1305
    template <class T>
kpeter@257
  1306
    struct SetReachedMapTraits : public Traits {
alpar@100
  1307
      typedef T ReachedMap;
alpar@100
  1308
      static ReachedMap *createReachedMap(const Digraph &digraph) {
deba@290
  1309
        LEMON_ASSERT(false, "ReachedMap is not initialized");
deba@290
  1310
        return 0; // ignore warnings
alpar@100
  1311
      }
alpar@100
  1312
    };
alpar@209
  1313
    /// \brief \ref named-templ-param "Named parameter" for setting
kpeter@244
  1314
    /// ReachedMap type.
alpar@100
  1315
    ///
kpeter@244
  1316
    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
alpar@100
  1317
    template <class T>
kpeter@257
  1318
    struct SetReachedMap : public DfsVisit< Digraph, Visitor,
kpeter@257
  1319
                                            SetReachedMapTraits<T> > {
kpeter@257
  1320
      typedef DfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create;
alpar@100
  1321
    };
alpar@100
  1322
    ///@}
alpar@100
  1323
alpar@209
  1324
  public:
alpar@209
  1325
alpar@100
  1326
    /// \brief Constructor.
alpar@100
  1327
    ///
alpar@100
  1328
    /// Constructor.
alpar@100
  1329
    ///
kpeter@244
  1330
    /// \param digraph The digraph the algorithm runs on.
kpeter@244
  1331
    /// \param visitor The visitor object of the algorithm.
alpar@209
  1332
    DfsVisit(const Digraph& digraph, Visitor& visitor)
alpar@100
  1333
      : _digraph(&digraph), _visitor(&visitor),
alpar@209
  1334
        _reached(0), local_reached(false) {}
alpar@209
  1335
alpar@100
  1336
    /// \brief Destructor.
alpar@100
  1337
    ~DfsVisit() {
alpar@100
  1338
      if(local_reached) delete _reached;
alpar@100
  1339
    }
alpar@100
  1340
kpeter@244
  1341
    /// \brief Sets the map that indicates which nodes are reached.
alpar@100
  1342
    ///
kpeter@244
  1343
    /// Sets the map that indicates which nodes are reached.
kpeter@405
  1344
    /// If you don't use this function before calling \ref run(Node) "run()"
kpeter@405
  1345
    /// or \ref init(), an instance will be allocated automatically.
kpeter@405
  1346
    /// The destructor deallocates this automatically allocated map,
kpeter@405
  1347
    /// of course.
alpar@100
  1348
    /// \return <tt> (*this) </tt>
alpar@100
  1349
    DfsVisit &reachedMap(ReachedMap &m) {
alpar@100
  1350
      if(local_reached) {
alpar@209
  1351
        delete _reached;
alpar@209
  1352
        local_reached=false;
alpar@100
  1353
      }
alpar@100
  1354
      _reached = &m;
alpar@100
  1355
      return *this;
alpar@100
  1356
    }
alpar@100
  1357
alpar@100
  1358
  public:
kpeter@244
  1359
kpeter@405
  1360
    /// \name Execution Control
kpeter@405
  1361
    /// The simplest way to execute the DFS algorithm is to use one of the
kpeter@405
  1362
    /// member functions called \ref run(Node) "run()".\n
kpeter@713
  1363
    /// If you need better control on the execution, you have to call
kpeter@713
  1364
    /// \ref init() first, then you can add a source node with \ref addSource()
kpeter@405
  1365
    /// and perform the actual computation with \ref start().
kpeter@405
  1366
    /// This procedure can be repeated if there are nodes that have not
kpeter@405
  1367
    /// been reached.
alpar@100
  1368
alpar@100
  1369
    /// @{
kpeter@244
  1370
alpar@100
  1371
    /// \brief Initializes the internal data structures.
alpar@100
  1372
    ///
alpar@100
  1373
    /// Initializes the internal data structures.
alpar@100
  1374
    void init() {
alpar@100
  1375
      create_maps();
alpar@100
  1376
      _stack.resize(countNodes(*_digraph));
alpar@100
  1377
      _stack_head = -1;
alpar@100
  1378
      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
alpar@209
  1379
        _reached->set(u, false);
alpar@100
  1380
      }
alpar@100
  1381
    }
alpar@209
  1382
kpeter@405
  1383
    /// \brief Adds a new source node.
alpar@100
  1384
    ///
kpeter@405
  1385
    /// Adds a new source node to the set of nodes to be processed.
kpeter@244
  1386
    ///
kpeter@405
  1387
    /// \pre The stack must be empty. Otherwise the algorithm gives
kpeter@405
  1388
    /// wrong results. (One of the outgoing arcs of all the source nodes
kpeter@405
  1389
    /// except for the last one will not be visited and distances will
kpeter@405
  1390
    /// also be wrong.)
kpeter@244
  1391
    void addSource(Node s)
kpeter@244
  1392
    {
kpeter@244
  1393
      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
alpar@100
  1394
      if(!(*_reached)[s]) {
alpar@209
  1395
          _reached->set(s,true);
alpar@209
  1396
          _visitor->start(s);
alpar@209
  1397
          _visitor->reach(s);
alpar@209
  1398
          Arc e;
alpar@209
  1399
          _digraph->firstOut(e, s);
alpar@209
  1400
          if (e != INVALID) {
alpar@209
  1401
            _stack[++_stack_head] = e;
alpar@209
  1402
          } else {
alpar@209
  1403
            _visitor->leave(s);
deba@419
  1404
            _visitor->stop(s);
alpar@209
  1405
          }
alpar@209
  1406
        }
alpar@100
  1407
    }
alpar@209
  1408
alpar@100
  1409
    /// \brief Processes the next arc.
alpar@100
  1410
    ///
alpar@100
  1411
    /// Processes the next arc.
alpar@100
  1412
    ///
alpar@100
  1413
    /// \return The processed arc.
alpar@100
  1414
    ///
kpeter@244
  1415
    /// \pre The stack must not be empty.
alpar@209
  1416
    Arc processNextArc() {
alpar@100
  1417
      Arc e = _stack[_stack_head];
alpar@100
  1418
      Node m = _digraph->target(e);
alpar@100
  1419
      if(!(*_reached)[m]) {
alpar@209
  1420
        _visitor->discover(e);
alpar@209
  1421
        _visitor->reach(m);
alpar@209
  1422
        _reached->set(m, true);
alpar@209
  1423
        _digraph->firstOut(_stack[++_stack_head], m);
alpar@100
  1424
      } else {
alpar@209
  1425
        _visitor->examine(e);
alpar@209
  1426
        m = _digraph->source(e);
alpar@209
  1427
        _digraph->nextOut(_stack[_stack_head]);
alpar@100
  1428
      }
alpar@100
  1429
      while (_stack_head>=0 && _stack[_stack_head] == INVALID) {
alpar@209
  1430
        _visitor->leave(m);
alpar@209
  1431
        --_stack_head;
alpar@209
  1432
        if (_stack_head >= 0) {
alpar@209
  1433
          _visitor->backtrack(_stack[_stack_head]);
alpar@209
  1434
          m = _digraph->source(_stack[_stack_head]);
alpar@209
  1435
          _digraph->nextOut(_stack[_stack_head]);
alpar@209
  1436
        } else {
alpar@209
  1437
          _visitor->stop(m);
alpar@209
  1438
        }
alpar@100
  1439
      }
alpar@100
  1440
      return e;
alpar@100
  1441
    }
alpar@100
  1442
alpar@100
  1443
    /// \brief Next arc to be processed.
alpar@100
  1444
    ///
alpar@100
  1445
    /// Next arc to be processed.
alpar@100
  1446
    ///
alpar@100
  1447
    /// \return The next arc to be processed or INVALID if the stack is
alpar@100
  1448
    /// empty.
kpeter@244
  1449
    Arc nextArc() const {
alpar@100
  1450
      return _stack_head >= 0 ? _stack[_stack_head] : INVALID;
alpar@100
  1451
    }
alpar@100
  1452
alpar@100
  1453
    /// \brief Returns \c false if there are nodes
kpeter@244
  1454
    /// to be processed.
alpar@100
  1455
    ///
alpar@100
  1456
    /// Returns \c false if there are nodes
kpeter@244
  1457
    /// to be processed in the queue (stack).
kpeter@244
  1458
    bool emptyQueue() const { return _stack_head < 0; }
alpar@100
  1459
alpar@100
  1460
    /// \brief Returns the number of the nodes to be processed.
alpar@100
  1461
    ///
kpeter@244
  1462
    /// Returns the number of the nodes to be processed in the queue (stack).
kpeter@244
  1463
    int queueSize() const { return _stack_head + 1; }
alpar@209
  1464
alpar@100
  1465
    /// \brief Executes the algorithm.
alpar@100
  1466
    ///
alpar@100
  1467
    /// Executes the algorithm.
alpar@100
  1468
    ///
kpeter@244
  1469
    /// This method runs the %DFS algorithm from the root node
kpeter@244
  1470
    /// in order to compute the %DFS path to each node.
kpeter@244
  1471
    ///
kpeter@244
  1472
    /// The algorithm computes
kpeter@244
  1473
    /// - the %DFS tree,
kpeter@244
  1474
    /// - the distance of each node from the root in the %DFS tree.
kpeter@244
  1475
    ///
kpeter@244
  1476
    /// \pre init() must be called and a root node should be
kpeter@244
  1477
    /// added with addSource() before using this function.
kpeter@244
  1478
    ///
kpeter@244
  1479
    /// \note <tt>d.start()</tt> is just a shortcut of the following code.
kpeter@244
  1480
    /// \code
kpeter@244
  1481
    ///   while ( !d.emptyQueue() ) {
kpeter@244
  1482
    ///     d.processNextArc();
kpeter@244
  1483
    ///   }
kpeter@244
  1484
    /// \endcode
alpar@100
  1485
    void start() {
alpar@100
  1486
      while ( !emptyQueue() ) processNextArc();
alpar@100
  1487
    }
alpar@209
  1488
kpeter@244
  1489
    /// \brief Executes the algorithm until the given target node is reached.
alpar@100
  1490
    ///
kpeter@244
  1491
    /// Executes the algorithm until the given target node is reached.
alpar@100
  1492
    ///
kpeter@244
  1493
    /// This method runs the %DFS algorithm from the root node
kpeter@286
  1494
    /// in order to compute the DFS path to \c t.
kpeter@244
  1495
    ///
kpeter@244
  1496
    /// The algorithm computes
kpeter@286
  1497
    /// - the %DFS path to \c t,
kpeter@286
  1498
    /// - the distance of \c t from the root in the %DFS tree.
kpeter@244
  1499
    ///
kpeter@244
  1500
    /// \pre init() must be called and a root node should be added
alpar@100
  1501
    /// with addSource() before using this function.
kpeter@286
  1502
    void start(Node t) {
kpeter@286
  1503
      while ( !emptyQueue() && _digraph->target(_stack[_stack_head]) != t )
alpar@209
  1504
        processNextArc();
alpar@100
  1505
    }
alpar@209
  1506
alpar@100
  1507
    /// \brief Executes the algorithm until a condition is met.
alpar@100
  1508
    ///
alpar@100
  1509
    /// Executes the algorithm until a condition is met.
alpar@100
  1510
    ///
kpeter@244
  1511
    /// This method runs the %DFS algorithm from the root node
kpeter@244
  1512
    /// until an arc \c a with <tt>am[a]</tt> true is found.
kpeter@244
  1513
    ///
kpeter@244
  1514
    /// \param am A \c bool (or convertible) arc map. The algorithm
kpeter@244
  1515
    /// will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
kpeter@244
  1516
    ///
kpeter@244
  1517
    /// \return The reached arc \c a with <tt>am[a]</tt> true or
kpeter@244
  1518
    /// \c INVALID if no such arc was found.
kpeter@244
  1519
    ///
kpeter@244
  1520
    /// \pre init() must be called and a root node should be added
alpar@100
  1521
    /// with addSource() before using this function.
alpar@100
  1522
    ///
kpeter@244
  1523
    /// \warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
alpar@100
  1524
    /// not a node map.
kpeter@244
  1525
    template <typename AM>
kpeter@244
  1526
    Arc start(const AM &am) {
kpeter@244
  1527
      while ( !emptyQueue() && !am[_stack[_stack_head]] )
alpar@100
  1528
        processNextArc();
alpar@100
  1529
      return emptyQueue() ? INVALID : _stack[_stack_head];
alpar@100
  1530
    }
alpar@100
  1531
kpeter@286
  1532
    /// \brief Runs the algorithm from the given source node.
alpar@100
  1533
    ///
kpeter@244
  1534
    /// This method runs the %DFS algorithm from node \c s.
kpeter@244
  1535
    /// in order to compute the DFS path to each node.
kpeter@244
  1536
    ///
kpeter@244
  1537
    /// The algorithm computes
kpeter@244
  1538
    /// - the %DFS tree,
kpeter@244
  1539
    /// - the distance of each node from the root in the %DFS tree.
kpeter@244
  1540
    ///
kpeter@244
  1541
    /// \note <tt>d.run(s)</tt> is just a shortcut of the following code.
alpar@100
  1542
    ///\code
alpar@100
  1543
    ///   d.init();
alpar@100
  1544
    ///   d.addSource(s);
alpar@100
  1545
    ///   d.start();
alpar@100
  1546
    ///\endcode
alpar@100
  1547
    void run(Node s) {
alpar@100
  1548
      init();
alpar@100
  1549
      addSource(s);
alpar@100
  1550
      start();
alpar@100
  1551
    }
alpar@100
  1552
kpeter@244
  1553
    /// \brief Finds the %DFS path between \c s and \c t.
kpeter@244
  1554
kpeter@244
  1555
    /// This method runs the %DFS algorithm from node \c s
kpeter@286
  1556
    /// in order to compute the DFS path to node \c t
kpeter@286
  1557
    /// (it stops searching when \c t is processed).
kpeter@244
  1558
    ///
kpeter@286
  1559
    /// \return \c true if \c t is reachable form \c s.
kpeter@244
  1560
    ///
kpeter@244
  1561
    /// \note Apart from the return value, <tt>d.run(s,t)</tt> is
kpeter@244
  1562
    /// just a shortcut of the following code.
kpeter@244
  1563
    ///\code
kpeter@244
  1564
    ///   d.init();
kpeter@244
  1565
    ///   d.addSource(s);
kpeter@244
  1566
    ///   d.start(t);
kpeter@244
  1567
    ///\endcode
kpeter@286
  1568
    bool run(Node s,Node t) {
kpeter@244
  1569
      init();
kpeter@244
  1570
      addSource(s);
kpeter@244
  1571
      start(t);
kpeter@286
  1572
      return reached(t);
kpeter@244
  1573
    }
kpeter@244
  1574
kpeter@244
  1575
    /// \brief Runs the algorithm to visit all nodes in the digraph.
alpar@209
  1576
kpeter@787
  1577
    /// This method runs the %DFS algorithm in order to visit all nodes
kpeter@787
  1578
    /// in the digraph.
kpeter@244
  1579
    ///
kpeter@244
  1580
    /// \note <tt>d.run()</tt> is just a shortcut of the following code.
alpar@100
  1581
    ///\code
kpeter@244
  1582
    ///   d.init();
kpeter@244
  1583
    ///   for (NodeIt n(digraph); n != INVALID; ++n) {
kpeter@244
  1584
    ///     if (!d.reached(n)) {
kpeter@244
  1585
    ///       d.addSource(n);
kpeter@244
  1586
    ///       d.start();
kpeter@244
  1587
    ///     }
kpeter@244
  1588
    ///   }
alpar@100
  1589
    ///\endcode
alpar@100
  1590
    void run() {
alpar@100
  1591
      init();
alpar@100
  1592
      for (NodeIt it(*_digraph); it != INVALID; ++it) {
alpar@100
  1593
        if (!reached(it)) {
alpar@100
  1594
          addSource(it);
alpar@100
  1595
          start();
alpar@100
  1596
        }
alpar@100
  1597
      }
alpar@100
  1598
    }
kpeter@244
  1599
alpar@100
  1600
    ///@}
alpar@100
  1601
alpar@100
  1602
    /// \name Query Functions
kpeter@405
  1603
    /// The results of the DFS algorithm can be obtained using these
alpar@100
  1604
    /// functions.\n
kpeter@405
  1605
    /// Either \ref run(Node) "run()" or \ref start() should be called
kpeter@405
  1606
    /// before using them.
kpeter@405
  1607
alpar@100
  1608
    ///@{
kpeter@244
  1609
kpeter@716
  1610
    /// \brief Checks if the given node is reached from the root(s).
alpar@100
  1611
    ///
kpeter@405
  1612
    /// Returns \c true if \c v is reached from the root(s).
kpeter@405
  1613
    ///
kpeter@405
  1614
    /// \pre Either \ref run(Node) "run()" or \ref init()
alpar@100
  1615
    /// must be called before using this function.
kpeter@420
  1616
    bool reached(Node v) const { return (*_reached)[v]; }
kpeter@244
  1617
alpar@100
  1618
    ///@}
kpeter@244
  1619
alpar@100
  1620
  };
alpar@100
  1621
alpar@100
  1622
} //END OF NAMESPACE LEMON
alpar@100
  1623
alpar@100
  1624
#endif